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### Number and algebra

### Geometry and measure

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### Working mathematically

### For younger learners

### Advanced mathematics

# Ideal Gases

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### Lunar Leaper

### Whoosh

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

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Age 16 to 18

Challenge Level

- Problem
- Getting Started
- Student Solutions
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Remember that the energy of a gas particle is $\frac{3}{2}kT$ where
k is Boltzmann's constant and T is temperature in kelvin.

Gravity on the Moon is about 1/6th that on the Earth. A pole-vaulter 2 metres tall can clear a 5 metres pole on the Earth. How high a pole could he clear on the Moon?

A ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?